There are visas where the foreign national can control/own/run the company he or she works for, such as the E-1/E-2, O-1, and L-1 visas. It's more complicated

There are visas where the foreign national can control/own/run the company he or she works for, such as the E-1/E-2, O-1, and L-1 visas. It's more complicated and tougher if you want to remain in H-1B status and work for your own company; in that situation, you have to give up some control to a cofounder or board. To be clear, it's possible to maintain your H-1B with your current employer and get a concurrent part-time H-1B through your own company (assuming the conditions above are met).